Let me shoot right back and ask if you understand what I was saying.
Yes, I understood what you are saying. I was making a crude argument, but the crude argument showed benefit something like 18-36x the cost. The points you are making would reduce the benefit, but not by a factor anywhere close to 18.
I think it certainly will. We can test it fairly easily by getting some real numbers.
- Years of life lost per death = 17 [1]
- Mortality rate = 2.2/100k
- Life lost per person per year = ~3.3 hours (derived from 17 years * 2.2 cases / 100k people)
- Total change in life expectancy if completely eliminated = ~3.3 hours/year for ~50 years = 1 week
My argument is lowballing everything (or in other words working against me) since you used extreme ends for your argument, and I'm simply accepting them. I also used years of life lost data from 2000 when cancer survival rates have significantly improved since then, assumed 100% perfect efficacy and so on. It doesn't matter, because it's not even remotely close.
From these data we can see that your argument implies implies that a person would be willing to pay about $20,000 (midpoint of your 18-36 = 27 x $750 cost of vaccine) for an increase of 7 days of life expectancy. That's nonsensical, by orders of magnitude, unless you're only polling multi millionaires to determine a statistical value of life.
[1] - https://pmc.ncbi.nlm.nih.gov/articles/PMC4167424/
That 2.2 per 100,000 is deaths PER YEAR, not PER LIFETIME. The vaccine is protecting against death each year over the person's life, not just in one year.
That is why I multiplied the change per year by 50, exactly as you did.
OK. If a life is worth $12M, that's $3300/week (assuming a 70 year lifespan). The shots cost $500-1000, a 3-6x ROI.
You're again playing very fast and loose with numbers there. The average female life expectancy is 81. And the shots only matter during the window of your life where cervical cancer is remotely relevant, which is during a typical sexual window where somebody may have multiple partners. 50 was already pushing the limits there, but I accepted it because even with that exaggeration, it's not close. But at some point you've got to start being remotely reasonable. And this is again before we even get into real efficacy, side effects, and other issues which matter quite a lot with diseases that have as low an impact as cervical cancer. E.g. a quick search shows a rate of severe side effects from the vaccines at 1.8 per 100k (which you need to multiply for a multi-shot regime). That matters quite a lot when the death rate from cervical cancer is 2.2 per 100k.
And more generally, I think converting this issue into weeks starts to emphasize how broken a metric statistical value of life is. Nobody, again outside of millionaires, is paying thousands or even hundreds of dollars for one more week of life expectancy. Even if they wanted to, the overwhelming majority of people just don't have that degree of disposable wealth. It's akin to you ask people how much they'd be willing to pay to e.g. deal with climate change, and they give some ridiculously large number. But then when it comes time to really pay, and not hypothetically pay, that number suddenly becomes quite close to $0.